Question

The cost of supply of a commodity equals the sum of three quantities. The first one is a constant, the second varies directly as the price per unit of the commodity and the third varies directly as the square as the price per unit. The cost of supply are Rs. 9, Rs. 24, and Rs. 47 when the prices per unit are Rs. 1, Rs. 2, Rs. 3, respectively. Find the cost in Rs. of supply when price per unit of commodity is Rs. 4.​

Answer 1

Answer:

cost of supply=a+Kb+Zc

a=constant

b=k(price per unit of the commodity)

c=z(price per unit of the commodity)^2

as per que

9=1+k+z

24=2+2k+4z

45=3+3k+9z

from equ (1)

k+z=8

say k=x

then z=8-x

putting values in equ 2

24=2+2(x)+4(8-x)

24=2+2x+32-4x

2x=10

x=5

k=5

z=3

so

if price per commodity is 4 then

cost of supply=

4+k(4)+z(16)

4+20+48=72

72